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57339828 = 223271323761
BaseRepresentation
bin1101101010111…
…0111110110100
310222220011110100
43122232332310
5104134333303
65404554100
71264244340
oct332567664
9128804410
1057339828
112a404297
1217252930
13bb581c0
147888620
1550798a3
hex36aefb4

57339828 has 144 divisors (see below), whose sum is σ = 186391296. Its totient is φ = 14446080.

The previous prime is 57339823. The next prime is 57339829. The reversal of 57339828 is 82893375.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57339823) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 74968 + ... + 75728.

It is an arithmetic number, because the mean of its divisors is an integer number (1294384).

Almost surely, 257339828 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57339828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93195648).

57339828 is an abundant number, since it is smaller than the sum of its proper divisors (129051468).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

57339828 is a wasteful number, since it uses less digits than its factorization.

57339828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 814 (or 809 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The square root of 57339828 is about 7572.3066498921. The cubic root of 57339828 is about 385.6134101871.

It can be divided in two parts, 573 and 39828, that added together give a square (40401 = 2012).

The spelling of 57339828 in words is "fifty-seven million, three hundred thirty-nine thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 23 26 28 36 39 42 46 52 63 69 78 84 91 92 117 126 138 156 161 182 207 234 252 273 276 299 322 364 414 468 483 546 598 644 761 819 828 897 966 1092 1196 1449 1522 1638 1794 1932 2093 2283 2691 2898 3044 3276 3588 4186 4566 5327 5382 5796 6279 6849 8372 9132 9893 10654 10764 12558 13698 15981 17503 18837 19786 21308 25116 27396 29679 31962 35006 37674 39572 47943 52509 59358 63924 69251 70012 75348 89037 95886 105018 118716 122521 138502 157527 178074 191772 207753 210036 227539 245042 277004 315054 356148 367563 415506 455078 490084 623259 630108 682617 735126 831012 910156 1102689 1246518 1365234 1470252 1592773 2047851 2205378 2493036 2730468 3185546 4095702 4410756 4778319 6371092 8191404 9556638 14334957 19113276 28669914 57339828